Re: Transcendental magic: Schade's peak voltage equation and my discovery!!
For small values of x, e^(-x) is 1-x. So for high values of Q you are simply calculating 1- (pi/4Q) to whatever accuracy your calculating device can manage. You can easily check this by comparing the two calculations: exp(-x) vs. 1-x. The difference is that you can by hand do 1-x however small x is - you are limited only by the size of your piece of paper; the calculator runs out of significant figures before you do. Of course, exp (0) = 1.
If you really want to get excited by maths, consider that exp (j pi) + 1 = 0.
|